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131110200441 = 321112761716901
BaseRepresentation
bin111101000011011000…
…1101110010001111001
3110112102021222021022200
41322012301232101321
54122003202403231
6140121534340413
712321014213223
oct1720661562171
9415367867280
10131110200441
1150670321160
12214b065a709
13c495bb737c
1464bab01413
153625561be6
hex1e86c6e479

131110200441 has 48 divisors (see below), whose sum is σ = 208574466048. Its totient is φ = 78702624000.

The previous prime is 131110200437. The next prime is 131110200449. The reversal of 131110200441 is 144002011131.

131110200441 is a `hidden beast` number, since 1 + 3 + 11 + 10 + 200 + 441 = 666.

It is not a de Polignac number, because 131110200441 - 22 = 131110200437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131110200449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7749091 + ... + 7765991.

It is an arithmetic number, because the mean of its divisors is an integer number (4345301376).

Almost surely, 2131110200441 is an apocalyptic number.

131110200441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131110200441 is a deficient number, since it is larger than the sum of its proper divisors (77464265607).

131110200441 is a wasteful number, since it uses less digits than its factorization.

131110200441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17662 (or 17659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131110200441 its reverse (144002011131), we get a palindrome (275112211572).

The spelling of 131110200441 in words is "one hundred thirty-one billion, one hundred ten million, two hundred thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 127 381 617 1143 1397 1851 4191 5553 6787 12573 16901 20361 50703 61083 78359 152109 185911 235077 557733 705231 861949 1673199 2146427 2585847 6439281 7757541 10427917 19317843 23610697 31283751 70832091 93851253 114707087 212496273 344121261 1032363783 1324345459 3973036377 11919109131 14567800049 43703400147 131110200441